An ellipsoid has radii with lengths of $6$ , $6$ , and $12$ . A portion the size of a hemisphere with a radius of $5$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

Question

An ellipsoid has radii with lengths of $6$ , $6$ , and $12$ . A portion the size of a hemisphere with a radius of $5$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer

Impact of this question

1329 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-10T23:39:36

$=1547.76$

Explanation:

The Volume of an Ellipsoid with radii $=6,6 and 12$
$=pi/6times$ (major-axis) $times$ (minor axis) $times$ (vertcal-axis)
$=pi/6(2times12)(2times6)(2times6)$
$=pi/6(24times12times12)$
$=576pi$
$=1809.56$
Volume of an Hemisphere $=2/3(pir^3)$ where $r=5$ is the radius
$=2/3pi(5)^3$
$=2/3pi(125)$
$=250/3pi$
$=261.8$
So the remaining volume of the Ellipsoid
$=1809.56-261.8$
$=1547.76$

Science

Math

Humanities

... and beyond

An ellipsoid has radii with lengths of $6$ , $6$ , and $12$ . A portion the size of a hemisphere with a radius of $5$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

An ellipsoid has radii with lengths of 6 6 , 6 6 , and 12 12 . A portion the size of a hemisphere with a radius of 5 5 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer

Explanation:

Related questions

Impact of this question

An ellipsoid has radii with lengths of $6$ , $6$ , and $12$ . A portion the size of a hemisphere with a radius of $5$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?